My Math Forum Circle in an angle

 Algebra Pre-Algebra and Basic Algebra Math Forum

 May 3rd, 2010, 11:04 AM #1 Newbie   Joined: Mar 2010 Posts: 13 Thanks: 0 Circle in an angle Hello, given is a triangle ABC. A circle with center D is tangent to BC, AB and AC at points that lie outside the given triangle. Show that AD passes through the circumcircle of triangle BCD. I have no idea how to attempt this. Thanks for help.
 May 3rd, 2010, 01:24 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,757 Thanks: 2138 The wording "through the circumcircle" should have been "through the circumcentre". The circumcircle of triangle BCD passes through the incentre, I, of triangle ABC, has ID as a diameter, and the midpoint of ID as its centre, which therefore lies on AD.

 Tags angle, circle

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post wannaknow Algebra 6 February 22nd, 2014 12:36 PM yogazen2013 Algebra 1 August 24th, 2013 01:30 PM rozze Art 5 January 24th, 2012 02:06 PM Megatron Algebra 2 September 30th, 2011 07:18 PM sekar Algebra 3 March 24th, 2009 01:02 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top